Solar System by polar radius: Difference between revisions
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<u>[[Solar System]]</u> objects sorted by decreasing polar radius. | |||
== list == | |||
<ol start="0"> | <ol start="0"> | ||
<li>'''Star Sol''': <math>\bar{r}</math> = 6.957E8 m = 695700 km; <var>r</var><sub>e</sub> = 6.963E8 m = 696300 km; <var>r</var><sub>p</sub> = 6.945E8 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Star Sol|Star Sol]]''': <math>\bar{r}</math> = 6.957E8 m = 695700 km; <var>r</var><sub>e</sub> = 6.963E8 m = 696300 km; <var>r</var><sub>p</sub> = 6.945E8 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Planet V Jupiter''': <math>\bar{r}</math> = (6.9911E7 ± 6E3) m = (69911 ± 6) km; <var>r</var><sub>e</sub> = 7.1492E7 m = 71492 km; <var>r</var><sub>p</sub> = 6.6749E7 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Planet V Jupiter|Planet V Jupiter]]''': <math>\bar{r}</math> = (6.9911E7 ± 6E3) m = (69911 ± 6) km; <var>r</var><sub>e</sub> = 7.1492E7 m = 71492 km; <var>r</var><sub>p</sub> = 6.6749E7 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Planet VI Saturn''': <math>\bar{r}</math> = (5.8232E7 ± 6E3) m = (58232 ± 6) km; <var>r</var><sub>e</sub> = 6.0268E7 m = 60268 km; <var>r</var><sub>p</sub> = 5.4160E7 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Planet VI Saturn|Planet VI Saturn]]''': <math>\bar{r}</math> = (5.8232E7 ± 6E3) m = (58232 ± 6) km; <var>r</var><sub>e</sub> = 6.0268E7 m = 60268 km; <var>r</var><sub>p</sub> = 5.4160E7 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Planet VII Uranus''': <math>\bar{r}</math> = (2.53636666666666666666666666666667E7 ± 7.1802197428460053750009473220537E3) m = < | <li>'''[[wikipedia:Planet VII Uranus|Planet VII Uranus]]''': <math>\bar{r}</math> = (2.53636666666666666666666666666667E7 ± 7.1802197428460053750009473220537E3) m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = (2.5559E7 ± 4E3) m = (25559 ± 4) km; <var>r</var><sub>p</sub> = (2.4973E7 ± 2E4) m = (24973 ± 20) km</li> | ||
<li>'''Planet VIII Neptune''': <math>\bar{r}</math> = (2.4623E7 ± 1.4142135623730950488016887242097E4) m = < | <li>'''[[wikipedia:Planet VIII Neptune|Planet VIII Neptune]]''': <math>\bar{r}</math> = (2.4623E7 ± 1.4142135623730950488016887242097E4) m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = (2.4764E7 ± 1.5E4) m = (24764 ± 15) km; <var>r</var><sub>p</sub> = (2.4341E7 ± 3E4) m = (24341 ± 30) km</li> | ||
<li>'''Planet III Terra''': <math>\bar{r}</math> = 6.3710087713801186159507022871767E6 m = | <li>'''[[wikipedia:Planet III Terra|Planet III Terra]]''': <math>\bar{r}</math> = 6.3710087713801186159507022871767E6 m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = 6.378137E6 m = 6378.137 km; <var>r</var><sub>p</sub> = 6.3567523141403558478521068615295E6 m = −(<var>f</var> − 1)<var>r</var><sub>e</sub></li> | ||
<li>'''Planet II Venus''': <math>\bar{r}</math> = (6.0518E6 ± 1.0E3) m = (6051.8 ± 1.0) km; <var>r</var><sub>e</sub> = 6.0518001540473630205875615870764E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 6. | <li>'''[[wikipedia:Planet II Venus|Planet II Venus]]''': <math>\bar{r}</math> = (6.0518E6 ± 1.0E3) m = (6051.8 ± 1.0) km; <var>r</var><sub>e</sub> = 6.0518001540473630205875615870764E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 6.0517996919052739588248768258470E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Planet IV Mars''': <math>\bar{r}</math> = (3.3895333333333333333333333333333E6 ± 7.4535599249992989880305788957709E1) m = | <li>'''[[wikipedia:Planet IV Mars|Planet IV Mars]]''': <math>\bar{r}</math> = (3.3895333333333333333333333333333E6 ± 7.4535599249992989880305788957709E1) m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = (3.3962E6 ± 1E2) m = (3396.2 ± 0.1) km; <var>r</var><sub>p</sub> = (3.3762E6 ± 1E2) m = (3376.2 ± 0.1) km</li> | ||
<li>'''Jovian Satellite III Ganymede''': <math>\bar{r}</math> = (2.6341E6 ± 3E2) m = (2634.1 ± 0.3) km; <var>r</var><sub>e</sub> = 2.6343095368525535298979659694619E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.6336809262948929402040680610762E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Jovian Satellite III Ganymede|Jovian Satellite III Ganymede]]''': <math>\bar{r}</math> = (2.6341E6 ± 3E2) m = (2634.1 ± 0.3) km; <var>r</var><sub>e</sub> = 2.6343095368525535298979659694619E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.6336809262948929402040680610762E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Saturnian Satellite VI Titan''': <math>\bar{r}</math> = (2.57473E6 ± 9E1) m = (2574.73 ± 0.09) km; <var>r</var><sub>e</sub> = 2.5747724234666186838664982852257E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.5746451530667626322670034295486E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Saturnian Satellite VI Titan|Saturnian Satellite VI Titan]]''': <math>\bar{r}</math> = (2.57473E6 ± 9E1) m = (2574.73 ± 0.09) km; <var>r</var><sub>e</sub> = 2.5747724234666186838664982852257E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.5746451530667626322670034295486E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Planet I Mercury''': <math>\bar{r}</math> = (2.4394E6 ± 1E2) m = (2439.4 ± 0.1) km; <var>r</var><sub>e</sub> = 2.4401320396118835650695208562569E6 m = <math>\frac {-3\bar{r}} {f - 3}</math>; <var>r</var><sub>p</sub> = 2.4379359207762328698609582874862E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Planet I Mercury|Planet I Mercury]]''': <math>\bar{r}</math> = (2.4394E6 ± 1E2) m = (2439.4 ± 0.1) km; <var>r</var><sub>e</sub> = 2.4401320396118835650695208562569E6 m = <math>\frac {-3\bar{r}} {f - 3}</math>; <var>r</var><sub>p</sub> = 2.4379359207762328698609582874862E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Jovian Satellite IV Callisto''': <math>\bar{r}</math> = (2.4103E6 ± 1.5E3) m = (2410.3 ± 1.5) km; <var>r</var><sub>e</sub> = 2.4103371835504931845570782568187E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.4102256328990136308858434863626E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Jovian Satellite IV Callisto|Jovian Satellite IV Callisto]]''': <math>\bar{r}</math> = (2.4103E6 ± 1.5E3) m = (2410.3 ± 1.5) km; <var>r</var><sub>e</sub> = 2.4103371835504931845570782568187E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 2.4102256328990136308858434863626E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Jovian Satellite I Io''': <math>\bar{r}</math> = (1.8216E6 ± 5E2) m = (1821.6 ± 0.5) km; <math>\bar{r}_\mathrm{e}</math> = 1.82435E6 m; <math>r_{\mathrm{e}_a}</math> = 1.8300E6 m = (3660.0 | <li>'''[[wikipedia:Jovian Satellite I Io|Jovian Satellite I Io]]''': <math>\bar{r}</math> = (1.8216E6 ± 5E2) m = (1821.6 ± 0.5) km; <math>\bar{r}_\mathrm{e}</math> = 1.82435E6 m; <math>r_{\mathrm{e}_a}</math> = 1.8300E6 m = ½(3660.0) km; <math>r_{\mathrm{e}_b}</math> = 1.8187E6 m = ½(3637.4) km; <var>r</var><sub>p</sub> = 1.8161E6 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | ||
<li>'''Terran Satellite I Luna''': <math>\bar{r}</math> = (1.7375E6 ± 1E2) m = (1737.5 ± 0.1) km; <var>r</var><sub>e</sub> = 1.7381E6 m = 1738.1 km; <var>r</var><sub>p</sub> = 1.7363E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Terran Satellite I Luna|Terran Satellite I Luna]]''': <math>\bar{r}</math> = (1.7375E6 ± 1E2) m = (1737.5 ± 0.1) km; <var>r</var><sub>e</sub> = 1.7381E6 m = 1738.1 km; <var>r</var><sub>p</sub> = 1.7363E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Jovian Satellite II Europa''': <math>\bar{r}</math> = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; <var>r</var><sub>e</sub> = 1.5611236919764961281816837445995E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.5601526160470077436366325108010E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Jovian Satellite II Europa|Jovian Satellite II Europa]]''': <math>\bar{r}</math> = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; <var>r</var><sub>e</sub> = 1.5611236919764961281816837445995E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.5601526160470077436366325108010E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Neptunian Satellite I Triton''': <math>\bar{r}</math> = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; <var>r</var><sub>e</sub> = 1.3535499400913007069568216942597E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.3531001198173985860863566114806E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | <li>'''[[wikipedia:Neptunian Satellite I Triton|Neptunian Satellite I Triton]]''': <math>\bar{r}</math> = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; <var>r</var><sub>e</sub> = 1.3535499400913007069568216942597E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.3531001198173985860863566114806E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''Minor Planet 134340 Pluto''': <math>\bar{r}</math> = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km</ | <li>'''[[wikipedia:Minor Planet 134340 Pluto|Minor Planet 134340 Pluto]]''': <math>\bar{r}</math> = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km; <var>r</var><sub>e</sub> = 1.1884238844601665333822436493119E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.1880522310796669332355127013762E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
< | <li>'''[[wikipedia:Minor Planet 136199 Eris|Minor Planet 136199 Eris]]''': <math>\bar{r}</math> = (1.163E6 ± 6E3) m = (1163 ± 6) km; <var>r</var><sub>e</sub> = 1.1630147197975619502929207033168E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.1629705604048760994141585933664E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
< | <li>'''[[wikipedia:Uranian Satellite III Titania|Uranian Satellite III Titania]]''': <math>\bar{r}</math> = (7.884E5 ± 6E2) m = (788.4 ± 0.6) km; <var>r</var><sub>e</sub> = 7.8844870718447305101466061189134E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 7.8830258563105389797067877621730E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>''' | <li>'''[[wikipedia:Saturnian Satellite V Rhea|Saturnian Satellite V Rhea]]''': <math>\bar{r}</math> = (7.635E5 ± 5E2) m = (763.5 ± 0.5) km; <math>\bar{r}_\mathrm{e}</math> = 7.645E5 m; <math>r_{\mathrm{e}_a}</math> = 7.662E5 m = ½(1532.4) km; <math>r_{\mathrm{e}_b}</math> = 7.628E5 m = ½(1525.6) km; <var>r</var><sub>p</sub> = 7.615E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | ||
<li>'''Uranian Satellite | <li>'''[[wikipedia:Uranian Satellite IV Oberon|Uranian Satellite IV Oberon]]''': <math>\bar{r}</math> = (7.614E5 ± 2.6E3) m = (761.4 ± 2.6) km; <var>r</var><sub>e</sub> = 7.6141968120770514618407674466361E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 7.6136063758458970763184651067280E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
< | <li>'''[[wikipedia:Saturnian Satellite VIII Iapetus|Saturnian Satellite VIII Iapetus]]''': <math>\bar{r}</math> = (7.356E5 ± 1.5E3) m = (735.6 ± 1.5) km; <var>r</var><sub>e</sub> = 7.460E5 m = ½(1492.0) km/2; <var>r</var><sub>p</sub> = 7.148E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>''' | <li>'''[[wikipedia:Minor Planet 136472 Makemake|Minor Planet 136472 Makemake]]''': <math>\bar{r}</math> = (7.1466666666666666666666666666667E5 ± 1.6492422502470642199285639423896E4) m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = (7.17E5 ± 2.4E4) m = ½(1434 ± 48) km; <var>r</var><sub>p</sub> = (7.10E5 ± 1.2E4) m = ½(1420 ± 24) km</li> | ||
<li>'''[[wikipedia:Minor Planet 225088 Gonggong|Minor Planet 225088 Gonggong]]''': <math>\bar{r}</math> = (6.15E5 ± 2.5E4) m = (615 ± 25) km; <var>r</var><sub>e</sub> = 6.1643835616438356164383561643836E5 m = <math>\frac {-3\bar{r}} {f - 3}</math>; <var>r</var><sub>p</sub> = 6.1212328767123287671232876712330E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | |||
< | <li>'''[[wikipedia:Plutonian Satellite I Charon|Plutonian Satellite I Charon]]''': <math>\bar{r}</math> = (6.060E5 ± 5E2) m = (606.0 ± 0.5) km; <var>r</var><sub>e</sub> = (6.0606865413970536945675888781037E5 ± 5.0005671197122533062575234989123E2) m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = (6.0586269172058926108648222437930E5 ± 1.8028385564852699931159110236698E3) m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>''' | <li>'''[[wikipedia:Uranian Satellite II Umbriel|Uranian Satellite II Umbriel]]''': <math>\bar{r}</math> = (5.847E5 ± 2.8E3) m = (584.7 ± 2.8) km; <var>r</var><sub>e</sub> = 5.8487439087043772520442710000016E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 5.8435121825912454959114579999970E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
< | <li>'''[[wikipedia:Uranian Satellite I Ariel|Uranian Satellite I Ariel]]''': <math>\bar{r}</math> = (5.789E5 ± 6E2) m = (578.9 ± 0.6) km; <math>\bar{r}_\mathrm{e}</math> = 5.795E5 m; <math>r_{\mathrm{e}_a}</math> = 5.811E5 m = ½(1162.2) km; <math>r_{\mathrm{e}_b}</math> = 5.779E5 m = ½(1155.8) km; <var>r</var><sub>p</sub> = 5.777E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | ||
< | <li>'''[[wikipedia:Saturnian Satellite IV Dione|Saturnian Satellite IV Dione]]''': <math>\bar{r}</math> = (5.614E5 ± 4E2) m = (561.4 ± 0.4) km; <math>\bar{r}_\mathrm{e}</math> = 5.6285E5 m; <math>r_{\mathrm{e}_a}</math> = 5.644E5 m = ½(1128.8) km; <math>r_{\mathrm{e}_b}</math> = 5.613E5 m = ½(1122.6) km; <var>r</var><sub>p</sub> = 5.585E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | ||
< | <li>'''[[wikipedia:Saturnian Satellite III Tethys|Saturnian Satellite III Tethys]]''': <math>\bar{r}</math> = (5.311E5 ± 6E2) m = (531.1 ± 0.6) km; <math>\bar{r}_\mathrm{e}</math> = 5.3355E5 m; <math>r_{\mathrm{e}_a}</math> = 5.384E5 m = ½(1076.8) km; <math>r_{\mathrm{e}_b}</math> = 5.287E5 m = ½(1057.4) km; <var>r</var><sub>p</sub> = 5.262E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | ||
< | <li>'''[[wikipedia:Minor Planet 136108 Haumea|Minor Planet 136108 Haumea]]''': <math>\bar{r}</math> = (8.42E5 ± 1.1411495179082459842101968196286E4) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3</math>; <math>\bar{r}_\mathrm{e}</math> = (1.0065E6 ± 1.5132745950421555927191862049341E4) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = (1.161E6 ± 3E4) m = ½(2322 ± 60) km; <math>r_{\mathrm{e}_b}</math> = (8.520E5 ± 4E3) m = ½(1704 ± 8) km; <var>r</var><sub>p</sub> = (5.130E5 ± 1.6E4) m = ½(1026 ± 32) km</li> | ||
<li>'''[[wikipedia:Minor Planet 50000 Quaoar|Minor Planet 50000 Quaoar]]''': <math>\bar{r}</math> = (5.43E5 ± 2E3) m = (543 ± 2) km; <math>\bar{r}_\mathrm{e}</math> = 5.915E5 m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = 6.43E5 m = ½(1286) km; <math>r_{\mathrm{e}_b}</math> = 5.40E5 m = ½(1080) km; <var>r</var><sub>p</sub> = 4.46E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li> | |||
<li>''' | <li>'''[[wikipedia:Minor Planet 1 Ceres|Minor Planet 1 Ceres]]''': <math>\bar{r}</math> = (4.700E5 ± 5.7735026918962576450914878050195E1) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3</math>; <math>\bar{r}_\mathrm{e}</math> = (4.8205E5 ± 7.0710678118654752440084436210485E1) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = (4.831E5 ± 1E2) m = ½(966.2 ± 0.2) km; <math>r_{\mathrm{e}_b}</math> = (4.810E5 ± 1E2) m = ½(962.0 ± 0.2) km; <var>r</var><sub>p</sub> = (4.459E5 ± 1E2) m = ½(891.8 ± 0.2) km</li> | ||
< | <li>'''[[wikipedia:Minor Planet 90377 Sedna|Minor Planet 90377 Sedna]]''': <math>\bar{r}</math> = (4.53E5 ± 1.57E5) m = (453 ± 157) km; <var>r</var><sub>e</sub> = 4.5746361861673832041563774137165E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 4.4407276276652335916872451725670E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>''' | <li>'''[[wikipedia:Minor Planet 90482 Orcus|Minor Planet 90482 Orcus]]''': <math>\bar{r}</math> = (4.585E5 ± 1.25E4) m = ½(917 ± 25) km; <var>r</var><sub>e</sub> = 4.7243571337591407021535814627936E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 4.3062857324817185956928370744128E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | ||
<li>'''[[wikipedia:Minor Planet 307261|Minor Planet 307261]] (2002 MS<sub>4</sub>)''': <math>\bar{r}</math> = (4.02666666666666666666666666666667E5 ± 8.7496031656044581754577315089968E3) m = (2<var>r</var><sub>e</sub> + <var>r</var><sub>p</sub>)/3; <var>r</var><sub>e</sub> = (4.115E5 ± 1E4) m = ½(823 ± 20) km; <var>r</var><sub>p</sub> = (3.85E5 ± 1.7E4) m = ½(770 ± 34) km</li> | |||
<li>''' | <li>'''[[wikipedia:Minor Planet 532037|Minor Planet 532037]] (2013 FY<sub>27</sub>)''': <var>r</var> = (3.7E5 ± 4E4) m = (370 ± 40) km</li> | ||
<li>'''Minor Planet | |||
</ol> | </ol> | ||
=== Main Asteroid Belt === | |||
# '''Minor Planet 1 Ceres''' | |||
# '''[[wikipedia:Minor Planet 2 Pallas|Minor Planet 2 Pallas]]''': <math>\bar{r}</math> = (2.58E5 ± 3.4641016151377545870548926830117E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3</math>; <math>\bar{r}_\mathrm{e}</math> = (2.75E5 ± 4.2426406871192851464050661726291E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = (2.84E5 ± 6E3) m = ½(568 ± 12) km; <math>r_{\mathrm{e}_b}</math> = (2.66E5 ± 6E3) m = ½(532 ± 12) km; <var>r</var><sub>p</sub> = (2.24E5 ± 6E3) m = ½(448 ± 12) km | |||
# '''[[wikipedia:Minor Planet 4 Vesta|Minor Planet 4 Vesta]]''': <math>\bar{r}</math> = (2.627E5 ± 1E2) m = (262.7 ± 0.1) km; <math>\bar{r}_\mathrm{e}</math> = 2.8245E5 m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = 2.863E5 m = ½(572.6) km; <math>r_{\mathrm{e}_b}</math> = 2.786E5 m = ½(557.2) km; <var>r</var><sub>p</sub> = 2.232E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math> | |||
# '''[[wikipedia:Minor Planet 10 Hygiea|Minor Planet 10 Hygiea]]''': <math>\bar{r}</math> = (2.1733333333333333333333333333333E5 ± 4.0824829046386301636621401245099E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3</math>; <math>\bar{r}_\mathrm{e}</math> = (2.20E5 ± 3.5355339059327376220042218105242E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = (2.25E5 ± 5E3) m = ½(450 ± 10) km; <math>r_{\mathrm{e}_b}</math> = (2.15E5 ± 5E3) m = ½(430 ± 10) km; <var>r</var><sub>p</sub> = (2.12E5 ± 1E4) m = ½(424 ± 20) km | |||
# '''[[wikipedia:Minor Planet 704 Interamnia|Minor Planet 704 Interamnia]]''': <math>\bar{r}</math> = (1.70E5 ± 2.3094010767585030580365951220078E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3</math>; <math>\bar{r}_\mathrm{e}</math> = (1.775E5 ± 2.8284271247461900976033774484194E3) m = <math>(r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2</math>; <math>r_{\mathrm{e}_a}</math> = (1.81E5 ± 4E3) m = ½(362 ± 8) km; <math>r_{\mathrm{e}_b}</math> = (1.74E5 ± 4E3) m = ½(348 ± 8) km; <var>r</var><sub>p</sub> = (1.55E5 ± 4E3) m = ½(310 ± 8) km | |||
== gallery == | |||
<gallery> | |||
The Sun in white light.jpg | Star Sol | |||
Jupiter and its shrunken Great Red Spot.jpg | Planet Jupiter | |||
Saturn during Equinox (cropped).jpg | Planet Saturn | |||
Uranus Voyager2 color calibrated.png | Planet Uranus | |||
Neptune Voyager2 color calibrated.png | Planet Neptune | |||
Africa and Europe from a Million Miles Away.png | Planet Terra | |||
Venus-real color (crop tight).jpg | Planet Venus | |||
Mars - August 30 2021 - Flickr - Kevin M. Gill.png | Planet Mars | |||
Ganymede JunoGill 2217.jpg | Jovian Satellite Ganymede | |||
Titan in true color.jpg | Saturnian Satellite Titan | |||
Mercury in true color.jpg | Planet Mercury | |||
Callisto - July 8 1979 (38926064465).jpg | Jovian Satellite Callisto | |||
Io highest resolution true color.jpg | Jovian Satellite Io | |||
FullMoon2010.jpg | Terran Satellite Luna | |||
Europa in natural color.png | Jovian Satellite Europa | |||
Triton.usgs23.png | Neptunian Satellite Triton | |||
Pluto in True Color - High-Res (cropped).jpg | Minor Planet Pluto | |||
Eris and dysnomia2.jpg | Minor Planet Eris | |||
Titania (moon) color, cropped.jpg | Uranian Satellite Titania | |||
Rhea hi-res PIA07763.jpg | Saturnian Satellite Rhea | |||
Oberon in true color by Kevin M. Gill.jpg | Uranian Satellite Oberon | |||
Iapetus 706 1419 1.jpg | Saturnian Satellite Iapetus | |||
Makemake and its moon.jpg | Minor Planet Makemake | |||
225088 Gonggong and Xiangliu by Hubble (clean).png | Minor Planet Gonggong | |||
Charon in True Color - High-Res.jpg | Plutonian Satellite Charon | |||
PIA00040 Umbrielx2.47.jpg | Uranian Satellite Umbriel | |||
Ariel (moon).jpg | Uranian Satellite Ariel | |||
Dione in natural light (cropped2).jpg | Saturnian Satellite Dione | |||
PIA18317-SaturnMoon-Tethys-Cassini-20150411.jpg | Minor Planet Tethys | |||
Haumea Hubble.png | Minor Planet Haumea | |||
Quaoar-weywot hst.jpg | Minor Planet Quaoar | |||
Ceres - RC3 - Haulani Crater (22381131691) (cropped).jpg | Minor Planet Ceres | |||
Sedna PRC2004-14d.jpg | Minor Planet Sedna | |||
Orcus-vanth hst2.jpg | Minor Planet Orcus | |||
2002 MS4 Hubble 8x upscale.png | Minor Planet 307261 | |||
2013 FY27 small.png | Minor Planet 532037 | |||
</gallery> | |||
== notes == | |||
* <var>π</var> = 3.1415926535897932384626433832795 = <math>\int_{-1}^1 (1 - x^2)^{-1/2} \operatorname{d}x</math> | |||
* <var>G</var> = (6.67430E-11 ± 1.5E-15) m<sup>2</sup>N/kg<sup>2</sup> = 6.67430[15]E-11 m<sup>2</sup>N/kg<sup>2</sup> | |||
* <var>f</var><sub>Terra</sub> = 298.257222101<sup>−1</sup> | * <var>f</var><sub>Terra</sub> = 298.257222101<sup>−1</sup> | ||
* <var>P</var><sub>Venus</sub> = 2.099715264E7 s = 243.0226 d | * <var>P</var><sub>Venus</sub> = 2.099715264E7 s = 243.0226 d | ||
Line 48: | Line 103: | ||
* <var>P</var><sub>Europa</sub> = 3.068220384E5 s = 3.551181 d | * <var>P</var><sub>Europa</sub> = 3.068220384E5 s = 3.551181 d | ||
* <var>P</var><sub>Triton</sub> = 5.07773E5 s = 5:21:02:53 d | * <var>P</var><sub>Triton</sub> = 5.07773E5 s = 5:21:02:53 d | ||
* <var>P</var><sub>Pluto</sub> = 5.51856672E5 s = 6.387230 d | |||
* <var>P</var><sub>Eris</sub> = 1.3639104E6 s = 15.786 d | |||
* <var>P</var><sub>Titania</sub> = 7.522186176E5 s = 8.706234 d | |||
* <var>P</var><sub>Oberon</sub> = 1.1632234176E6 s = 13.463234 d | |||
* <var>f</var><sub>Gonggong</sub> = 0.007 | * <var>f</var><sub>Gonggong</sub> = 0.007 | ||
* <var>P</var><sub>Charon</sub> = (5.5185589E5 ± 3.5E-1) s = 6:09:17:35.89 d ± 0.35 s | |||
* <var>P</var><sub>Umbriel</sub> = 3.580416E5 s = 4.144 d | |||
* <var>P</var><sub>Sedna</sub> = (3.69828E4 ± 7.2) s = (10.273 ± 0.002) h | |||
* <var>P</var><sub>Orcus</sub> = 3.78E4 s = 10.5 h | |||
* <var>P</var><sub>MP55565</sub> = (3.1932E4 ± 3.6E1) s = (8.87 ± 0.01) h [[[wikipedia:Minor Planet 55565|Minor Planet 55565]] (2002 AW<sub>197</sub>)] | |||
* <math>\bar{r}_\mathrm{MP55565}</math> = (3.84E5 ± 1.9E4) m = (384 ± 19) km; <var>r</var><sub>e,MP55565</sub> = 4.0015376090595552759152462595429E5 m = <math>\left( \frac {5π} {4G\bar{ρ}_{\mathrm{Quaoar},\mathrm{Salacia},\mathrm{Varda},\mathrm{Varuna}}P^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p,MP55565</sub> = 3.5169247818808894481695074809142E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | |||
* <var>P</var><sub>Salacia</sub> = 2.1924E4 s = 6.09 h [[[wikipedia:Minor Planet 120347 Salacia|Minor Planet 120347 Salacia]]] | |||
* <math>\bar{r}_\mathrm{Salacia}</math> = (4.23E5 ± 1.05E4) m = ½(846 ± 21) km; <var>r</var><sub>e,Salacia</sub> = 4.6047921996258797966070039730641E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p,Salacia</sub> = 3.4804156007482404067859920538718E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li> | |||
* <math>\bar{ρ}_{\mathrm{Quaoar},\mathrm{Salacia},\mathrm{Varda},\mathrm{Varuna}}</math> = 1.3717011245271678743590642499140E3 kg/m<sup>3</sup> | |||
* d ≡ 8.64E4 s ≡ 24 h | |||
* h ≡ 3.6E3 s ≡ 60 min | |||
* min ≡ (6E1 ≡ 60) s | |||
== see also == | |||
* <u>[[Solar System by orbital period]]</u> | |||
* <u>[[Solar System by orbital radius]]</u> | |||
* <u>[[Solar System by mass]]</u> | |||
* <u>[[Solar System by surface area]]</u> | |||
* <u>[[Solar System by apparent polar diameter]]</u> | |||
* <u>[[Solar System data for Maxima]]</u> | |||
* [[wikipedia:Solar System by size|Solar System by size]] (Wikipedia) | |||
[[category:astronomy]] |
Latest revision as of 03:41, 30 June 2024
Solar System objects sorted by decreasing polar radius.
list
- Star Sol: [math]\displaystyle{ \bar{r} }[/math] = 6.957E8 m = 695700 km; re = 6.963E8 m = 696300 km; rp = 6.945E8 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Planet V Jupiter: [math]\displaystyle{ \bar{r} }[/math] = (6.9911E7 ± 6E3) m = (69911 ± 6) km; re = 7.1492E7 m = 71492 km; rp = 6.6749E7 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Planet VI Saturn: [math]\displaystyle{ \bar{r} }[/math] = (5.8232E7 ± 6E3) m = (58232 ± 6) km; re = 6.0268E7 m = 60268 km; rp = 5.4160E7 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Planet VII Uranus: [math]\displaystyle{ \bar{r} }[/math] = (2.53636666666666666666666666666667E7 ± 7.1802197428460053750009473220537E3) m = (2re + rp)/3; re = (2.5559E7 ± 4E3) m = (25559 ± 4) km; rp = (2.4973E7 ± 2E4) m = (24973 ± 20) km
- Planet VIII Neptune: [math]\displaystyle{ \bar{r} }[/math] = (2.4623E7 ± 1.4142135623730950488016887242097E4) m = (2re + rp)/3; re = (2.4764E7 ± 1.5E4) m = (24764 ± 15) km; rp = (2.4341E7 ± 3E4) m = (24341 ± 30) km
- Planet III Terra: [math]\displaystyle{ \bar{r} }[/math] = 6.3710087713801186159507022871767E6 m = (2re + rp)/3; re = 6.378137E6 m = 6378.137 km; rp = 6.3567523141403558478521068615295E6 m = −(f − 1)re
- Planet II Venus: [math]\displaystyle{ \bar{r} }[/math] = (6.0518E6 ± 1.0E3) m = (6051.8 ± 1.0) km; re = 6.0518001540473630205875615870764E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 6.0517996919052739588248768258470E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Planet IV Mars: [math]\displaystyle{ \bar{r} }[/math] = (3.3895333333333333333333333333333E6 ± 7.4535599249992989880305788957709E1) m = (2re + rp)/3; re = (3.3962E6 ± 1E2) m = (3396.2 ± 0.1) km; rp = (3.3762E6 ± 1E2) m = (3376.2 ± 0.1) km
- Jovian Satellite III Ganymede: [math]\displaystyle{ \bar{r} }[/math] = (2.6341E6 ± 3E2) m = (2634.1 ± 0.3) km; re = 2.6343095368525535298979659694619E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.6336809262948929402040680610762E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Saturnian Satellite VI Titan: [math]\displaystyle{ \bar{r} }[/math] = (2.57473E6 ± 9E1) m = (2574.73 ± 0.09) km; re = 2.5747724234666186838664982852257E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.5746451530667626322670034295486E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Planet I Mercury: [math]\displaystyle{ \bar{r} }[/math] = (2.4394E6 ± 1E2) m = (2439.4 ± 0.1) km; re = 2.4401320396118835650695208562569E6 m = [math]\displaystyle{ \frac {-3\bar{r}} {f - 3} }[/math]; rp = 2.4379359207762328698609582874862E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Jovian Satellite IV Callisto: [math]\displaystyle{ \bar{r} }[/math] = (2.4103E6 ± 1.5E3) m = (2410.3 ± 1.5) km; re = 2.4103371835504931845570782568187E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.4102256328990136308858434863626E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Jovian Satellite I Io: [math]\displaystyle{ \bar{r} }[/math] = (1.8216E6 ± 5E2) m = (1821.6 ± 0.5) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 1.82435E6 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 1.8300E6 m = ½(3660.0) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 1.8187E6 m = ½(3637.4) km; rp = 1.8161E6 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Terran Satellite I Luna: [math]\displaystyle{ \bar{r} }[/math] = (1.7375E6 ± 1E2) m = (1737.5 ± 0.1) km; re = 1.7381E6 m = 1738.1 km; rp = 1.7363E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Jovian Satellite II Europa: [math]\displaystyle{ \bar{r} }[/math] = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; re = 1.5611236919764961281816837445995E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.5601526160470077436366325108010E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Neptunian Satellite I Triton: [math]\displaystyle{ \bar{r} }[/math] = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; re = 1.3535499400913007069568216942597E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.3531001198173985860863566114806E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Minor Planet 134340 Pluto: [math]\displaystyle{ \bar{r} }[/math] = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km; re = 1.1884238844601665333822436493119E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.1880522310796669332355127013762E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Minor Planet 136199 Eris: [math]\displaystyle{ \bar{r} }[/math] = (1.163E6 ± 6E3) m = (1163 ± 6) km; re = 1.1630147197975619502929207033168E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.1629705604048760994141585933664E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Uranian Satellite III Titania: [math]\displaystyle{ \bar{r} }[/math] = (7.884E5 ± 6E2) m = (788.4 ± 0.6) km; re = 7.8844870718447305101466061189134E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 7.8830258563105389797067877621730E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Saturnian Satellite V Rhea: [math]\displaystyle{ \bar{r} }[/math] = (7.635E5 ± 5E2) m = (763.5 ± 0.5) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 7.645E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 7.662E5 m = ½(1532.4) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 7.628E5 m = ½(1525.6) km; rp = 7.615E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Uranian Satellite IV Oberon: [math]\displaystyle{ \bar{r} }[/math] = (7.614E5 ± 2.6E3) m = (761.4 ± 2.6) km; re = 7.6141968120770514618407674466361E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 7.6136063758458970763184651067280E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Saturnian Satellite VIII Iapetus: [math]\displaystyle{ \bar{r} }[/math] = (7.356E5 ± 1.5E3) m = (735.6 ± 1.5) km; re = 7.460E5 m = ½(1492.0) km/2; rp = 7.148E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Minor Planet 136472 Makemake: [math]\displaystyle{ \bar{r} }[/math] = (7.1466666666666666666666666666667E5 ± 1.6492422502470642199285639423896E4) m = (2re + rp)/3; re = (7.17E5 ± 2.4E4) m = ½(1434 ± 48) km; rp = (7.10E5 ± 1.2E4) m = ½(1420 ± 24) km
- Minor Planet 225088 Gonggong: [math]\displaystyle{ \bar{r} }[/math] = (6.15E5 ± 2.5E4) m = (615 ± 25) km; re = 6.1643835616438356164383561643836E5 m = [math]\displaystyle{ \frac {-3\bar{r}} {f - 3} }[/math]; rp = 6.1212328767123287671232876712330E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Plutonian Satellite I Charon: [math]\displaystyle{ \bar{r} }[/math] = (6.060E5 ± 5E2) m = (606.0 ± 0.5) km; re = (6.0606865413970536945675888781037E5 ± 5.0005671197122533062575234989123E2) m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = (6.0586269172058926108648222437930E5 ± 1.8028385564852699931159110236698E3) m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Uranian Satellite II Umbriel: [math]\displaystyle{ \bar{r} }[/math] = (5.847E5 ± 2.8E3) m = (584.7 ± 2.8) km; re = 5.8487439087043772520442710000016E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 5.8435121825912454959114579999970E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Uranian Satellite I Ariel: [math]\displaystyle{ \bar{r} }[/math] = (5.789E5 ± 6E2) m = (578.9 ± 0.6) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.795E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.811E5 m = ½(1162.2) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.779E5 m = ½(1155.8) km; rp = 5.777E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Saturnian Satellite IV Dione: [math]\displaystyle{ \bar{r} }[/math] = (5.614E5 ± 4E2) m = (561.4 ± 0.4) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.6285E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.644E5 m = ½(1128.8) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.613E5 m = ½(1122.6) km; rp = 5.585E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Saturnian Satellite III Tethys: [math]\displaystyle{ \bar{r} }[/math] = (5.311E5 ± 6E2) m = (531.1 ± 0.6) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.3355E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.384E5 m = ½(1076.8) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.287E5 m = ½(1057.4) km; rp = 5.262E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Minor Planet 136108 Haumea: [math]\displaystyle{ \bar{r} }[/math] = (8.42E5 ± 1.1411495179082459842101968196286E4) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3 }[/math]; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = (1.0065E6 ± 1.5132745950421555927191862049341E4) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (1.161E6 ± 3E4) m = ½(2322 ± 60) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (8.520E5 ± 4E3) m = ½(1704 ± 8) km; rp = (5.130E5 ± 1.6E4) m = ½(1026 ± 32) km
- Minor Planet 50000 Quaoar: [math]\displaystyle{ \bar{r} }[/math] = (5.43E5 ± 2E3) m = (543 ± 2) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.915E5 m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 6.43E5 m = ½(1286) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.40E5 m = ½(1080) km; rp = 4.46E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Minor Planet 1 Ceres: [math]\displaystyle{ \bar{r} }[/math] = (4.700E5 ± 5.7735026918962576450914878050195E1) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3 }[/math]; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = (4.8205E5 ± 7.0710678118654752440084436210485E1) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (4.831E5 ± 1E2) m = ½(966.2 ± 0.2) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (4.810E5 ± 1E2) m = ½(962.0 ± 0.2) km; rp = (4.459E5 ± 1E2) m = ½(891.8 ± 0.2) km
- Minor Planet 90377 Sedna: [math]\displaystyle{ \bar{r} }[/math] = (4.53E5 ± 1.57E5) m = (453 ± 157) km; re = 4.5746361861673832041563774137165E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 4.4407276276652335916872451725670E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Minor Planet 90482 Orcus: [math]\displaystyle{ \bar{r} }[/math] = (4.585E5 ± 1.25E4) m = ½(917 ± 25) km; re = 4.7243571337591407021535814627936E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 4.3062857324817185956928370744128E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- Minor Planet 307261 (2002 MS4): [math]\displaystyle{ \bar{r} }[/math] = (4.02666666666666666666666666666667E5 ± 8.7496031656044581754577315089968E3) m = (2re + rp)/3; re = (4.115E5 ± 1E4) m = ½(823 ± 20) km; rp = (3.85E5 ± 1.7E4) m = ½(770 ± 34) km
- Minor Planet 532037 (2013 FY27): r = (3.7E5 ± 4E4) m = (370 ± 40) km
Main Asteroid Belt
- Minor Planet 1 Ceres
- Minor Planet 2 Pallas: [math]\displaystyle{ \bar{r} }[/math] = (2.58E5 ± 3.4641016151377545870548926830117E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3 }[/math]; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = (2.75E5 ± 4.2426406871192851464050661726291E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (2.84E5 ± 6E3) m = ½(568 ± 12) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (2.66E5 ± 6E3) m = ½(532 ± 12) km; rp = (2.24E5 ± 6E3) m = ½(448 ± 12) km
- Minor Planet 4 Vesta: [math]\displaystyle{ \bar{r} }[/math] = (2.627E5 ± 1E2) m = (262.7 ± 0.1) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 2.8245E5 m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 2.863E5 m = ½(572.6) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 2.786E5 m = ½(557.2) km; rp = 2.232E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
- Minor Planet 10 Hygiea: [math]\displaystyle{ \bar{r} }[/math] = (2.1733333333333333333333333333333E5 ± 4.0824829046386301636621401245099E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3 }[/math]; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = (2.20E5 ± 3.5355339059327376220042218105242E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (2.25E5 ± 5E3) m = ½(450 ± 10) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (2.15E5 ± 5E3) m = ½(430 ± 10) km; rp = (2.12E5 ± 1E4) m = ½(424 ± 20) km
- Minor Planet 704 Interamnia: [math]\displaystyle{ \bar{r} }[/math] = (1.70E5 ± 2.3094010767585030580365951220078E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b} + r_\mathrm{p})/3 }[/math]; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = (1.775E5 ± 2.8284271247461900976033774484194E3) m = [math]\displaystyle{ (r_{\mathrm{e}_a} + r_{\mathrm{e}_b})/2 }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (1.81E5 ± 4E3) m = ½(362 ± 8) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (1.74E5 ± 4E3) m = ½(348 ± 8) km; rp = (1.55E5 ± 4E3) m = ½(310 ± 8) km
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notes
- π = 3.1415926535897932384626433832795 = [math]\displaystyle{ \int_{-1}^1 (1 - x^2)^{-1/2} \operatorname{d}x }[/math]
- G = (6.67430E-11 ± 1.5E-15) m2N/kg2 = 6.67430[15]E-11 m2N/kg2
- fTerra = 298.257222101−1
- PVenus = 2.099715264E7 s = 243.0226 d
- PGanymede = 6.18153375744E5 s = 7.15455296 d
- PTitan = 1.377648E6 s = 15.945 d
- fMercury = 0.0009
- PCallisto = 1.44193118976E6 s = 16.6890184 d
- PEuropa = 3.068220384E5 s = 3.551181 d
- PTriton = 5.07773E5 s = 5:21:02:53 d
- PPluto = 5.51856672E5 s = 6.387230 d
- PEris = 1.3639104E6 s = 15.786 d
- PTitania = 7.522186176E5 s = 8.706234 d
- POberon = 1.1632234176E6 s = 13.463234 d
- fGonggong = 0.007
- PCharon = (5.5185589E5 ± 3.5E-1) s = 6:09:17:35.89 d ± 0.35 s
- PUmbriel = 3.580416E5 s = 4.144 d
- PSedna = (3.69828E4 ± 7.2) s = (10.273 ± 0.002) h
- POrcus = 3.78E4 s = 10.5 h
- PMP55565 = (3.1932E4 ± 3.6E1) s = (8.87 ± 0.01) h [Minor Planet 55565 (2002 AW197)]
- [math]\displaystyle{ \bar{r}_\mathrm{MP55565} }[/math] = (3.84E5 ± 1.9E4) m = (384 ± 19) km; re,MP55565 = 4.0015376090595552759152462595429E5 m = [math]\displaystyle{ \left( \frac {5π} {4G\bar{ρ}_{\mathrm{Quaoar},\mathrm{Salacia},\mathrm{Varda},\mathrm{Varuna}}P^2} + 1 \right) \bar{r} }[/math]; rp,MP55565 = 3.5169247818808894481695074809142E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- PSalacia = 2.1924E4 s = 6.09 h [Minor Planet 120347 Salacia]
- [math]\displaystyle{ \bar{r}_\mathrm{Salacia} }[/math] = (4.23E5 ± 1.05E4) m = ½(846 ± 21) km; re,Salacia = 4.6047921996258797966070039730641E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp,Salacia = 3.4804156007482404067859920538718E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
- [math]\displaystyle{ \bar{ρ}_{\mathrm{Quaoar},\mathrm{Salacia},\mathrm{Varda},\mathrm{Varuna}} }[/math] = 1.3717011245271678743590642499140E3 kg/m3
- d ≡ 8.64E4 s ≡ 24 h
- h ≡ 3.6E3 s ≡ 60 min
- min ≡ (6E1 ≡ 60) s